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Simplifying -5n + -11 = 3n + 21 Reorder the terms: -11 + -5n = 3n + 21 Reorder the terms: -11 + -5n = 21 + 3n Solving -11 + -5n = 21 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -11 + -5n + -3n = 21 + 3n + -3n Combine like terms: -5n + -3n = -8n -11 + -8n = 21 + 3n + -3n Combine like terms: 3n + -3n = 0 -11 + -8n = 21 + 0 -11 + -8n = 21 Add '11' to each side of the equation. -11 + 11 + -8n = 21 + 11 Combine like terms: -11 + 11 = 0 0 + -8n = 21 + 11 -8n = 21 + 11 Combine like terms: 21 + 11 = 32 -8n = 32 Divide each side by '-8'. n = -4 Simplifying n = -4
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